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Tanzania [10]
3 years ago
11

An aquarium tank holds 570 liters of water. How much is this in gallons? Use the following conversion: 1 gallon is 3.8 liters.

Mathematics
2 answers:
Ilya [14]3 years ago
5 0
You would divide how many liters in one gallon 3.8 by 570 so u get 150 gallons
vivado [14]3 years ago
3 0
150 gallons is the answer

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Round 2. 873 to the nearest tenth
PtichkaEL [24]
2.873 ≈2.9 (nearest tenth)
6 0
3 years ago
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40 is what percent of 32
Jobisdone [24]
40 = x% of 32

32x = 40
x = 40/32
x = 1.25

multiply by 100 to convert to percentage...

x = 125%

40 is 125% of 32
8 0
3 years ago
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When the effective interest rate is 9% per annum, what is the present value of a series of 50 annual payments that start at $100
ser-zykov [4K]

Answer:

$1,109.62

Step-by-step explanation:

Let's first compute the <em>future value FV.</em>  

In order to see the rule of formation, let's see the value (in $) for the first few years

<u>End of year 0</u>

1,000

<u>End of year 1(capital + interest + new deposit)</u>

1,000*(1.09)+10  

<u>End of year 2 (capital + interest + new deposit)</u>

(1,000*(1.09)+10)*1.09 +10 =

\bf 1,000*(1.09)^2+10(1+1.09)

<u>End of year 3 (capital + interest + new deposit)</u>

\bf (1,000*(1.09)^2+10(1+1.09))(1.09)+10=\\1,000*(1.09)^3+10(1+1.09+1.09^2)

and we can see that at the end of year 50, the future value is

\bf FV=1,000*(1.09)^{50}+10(1+1.09+(1.09)^2+...+(1.09)^{49}

The sum  

\bf 1+1.09+(1.09)^2+...+(1.09)^{49}

is the <em>sum of a geometric sequence </em>with common ratio 1.09 and is equal to

\bf \frac{(1.09)^{50}-1}{1.09-1}=815.08356

and the future value is then

\bf FV=1,000*(1.09)^{50}+10*815.08356=82,508.35564

The <em>present value PV</em> is

\bf PV=\frac{FV}{(1.09)^{50}}=\frac{82508.35564}{74.35572}=1,109.616829\approx \$1,109.62

rounded to the nearest hundredth.

5 0
3 years ago
Pls answer fast first to answer correct is the gets brainliest
11Alexandr11 [23.1K]

Answer:

The answer is the first option; 6^1/12

Step-by-step explanation:

We can simplify the question by using the radical rule to rewrite it as
6^1/3 ÷ 6^1/4

Then we use exponent rule which states that when we are dividing exponents of the same base, we have to subtract them. We see that the exponents are 1/3 and 1/4. So we use basic fractional division, here's the subtraction:

= 1/3 - 1/4
= 4/3 - 3/4 (we criss-crossed)
= 1/12 (we subtracted the denominators and multiplied the denominators)

Now that we have subtracted the exponents, we can write the answer as 6^1/12

7 0
2 years ago
Read 2 more answers
I NEED HELP!
Ganezh [65]

Answer:

So, there are 3 cards in total, which means your pobability of picking one card out of the 3 cards is %33.33. So the probability of picking a 7 is 1/3. Because the other two numbers are greater than 7, and you already picked 7 so you cannot pick it again, the probabitily of pick a number greater than 7 is %100, or 3/3.

I hope that answers your question! :)

4 0
3 years ago
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